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Finding the Fourth Proportional to 1,359.96, 2,038.57 and 1,195.93

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Solution

The fourth proportional to 1,359.96, 2,038.57 and 1,195.93 is: 1,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.96 : 2,038.57 = 1,195.93 : x
  2. Step 2: Convert to fraction form
    1,359.96/2,038.57 = 1,195.93/x
  3. Step 3: Cross multiply
    1,359.96x = 2,038.57 × 1,195.93
  4. Step 4: Simplify right side
    1,359.96x = 2,437,987.02
  5. Step 5: Solve for x
    x = 2,437,987.02/1,359.96
  6. Step 6: Final answer
    x = 1,792.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.